The Elements of Euclid, Viz. the First Six Books, Together with the Eleventh and Twelfth: The Errors by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected and Some of Euclid's Demonstrations are Restored ; Also the Book O F Euclid's Data in Like Manner CorrectedF. Wingrave, 1809 - 531 σελίδες |
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Σελίδα 40
... square upon a given straight line . AB . Let AB be the given straight line ; It is required to describe a square upon 11. 1 . From the point A draw AC at right angles to AB ... AC the squares GB , HC ; and through A draw AL 40 THE ELEMENTS.
... square upon a given straight line . AB . Let AB be the given straight line ; It is required to describe a square upon 11. 1 . From the point A draw AC at right angles to AB ... AC the squares GB , HC ; and through A draw AL 40 THE ELEMENTS.
Σελίδα 41
... squares GB , HC ; and through A draw AL parallel to BD , Book L or CE , and join AD , FC : then , because each of the angles 31. 1 . BAC , BAG is a right angles , the two straight lines AC , AG , upon the opposite sides of AB , make ...
... squares GB , HC ; and through A draw AL parallel to BD , Book L or CE , and join AD , FC : then , because each of the angles 31. 1 . BAC , BAG is a right angles , the two straight lines AC , AG , upon the opposite sides of AB , make ...
Σελίδα 42
... square described upon BC , one of the sides of the tri- angle ABC , be equal to the squares upon the other sides BA , AC , the angle BAC is a right angle . а D From the point A draw AD at right angles to AC , and make AD equal to BA ...
... square described upon BC , one of the sides of the tri- angle ABC , be equal to the squares upon the other sides BA , AC , the angle BAC is a right angle . а D From the point A draw AD at right angles to AC , and make AD equal to BA ...
Σελίδα 44
... AC , shall be equal to the square of AB . Upon AB describe a the square 31. 1. ADEB , and through C draw CF , parallel to AD or BE ; then AE is equal to the rectangles AF , CE ; and AE is D C B the square of AB ; and AF is the rectangle ...
... AC , shall be equal to the square of AB . Upon AB describe a the square 31. 1. ADEB , and through C draw CF , parallel to AD or BE ; then AE is equal to the rectangles AF , CE ; and AE is D C B the square of AB ; and AF is the rectangle ...
Σελίδα 45
... square of the aforesaid part . Let the straight line AB be divided into two parts in the point C ; the rectangle AB , BC , is equal to the rectangle AC , CB , together with the square of BC . 1 Upon BC describe the square A CDEB , and ...
... square of the aforesaid part . Let the straight line AB be divided into two parts in the point C ; the rectangle AB , BC , is equal to the rectangle AC , CB , together with the square of BC . 1 Upon BC describe the square A CDEB , and ...
Άλλες εκδόσεις - Προβολή όλων
The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD altitude angle ABC angle BAC base BC BC is equal BC is given bisected Book XI centre circle ABC circumference common logarithm cone cylinder demonstrated described diameter drawn equal angles equiangular equimultiples Euclid ex æquali excess fore given angle given in magnitude given in position given in species given magnitude given ratio given straight line gnomon greater join less Let ABC logarithm multiple opposite parallel parallelogram perpendicular point F polygon prism proportionals proposition pyramid Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment sides BA similar sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR tiple triangle ABC triplicate ratio vertex